Water Science and Engineering 2019, 12(4) 253-262 DOI:   https://doi.org/10.1016/j.wse.2019.12.001  ISSN: 1674-2370 CN: 32-1785/TV

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Keywords
Flood frequency analysis
Hierarchical Bayesian
Index flood method
GEV distribution
Dongting Lake Basin
Authors
PubMed

Local and regional flood frequency analysis based on hierarchical Bayesian model in Dongting Lake Basin, China

Yun-biao Wu a,b, Lian-qing Xue a,b,c,*, Yuan-hong Liu a

a College of Hydrology and Water Resources, Hohai University, Nanjing 210098, China
b Department of Basic Education, Wanjiang University of Technology, Maanshan 243031, China
c College of Water and Architectural Engineering, Shihezi University, Shihezi 832003, China

Abstract

This study developed a hierarchical Bayesian (HB) model for local and regional flood frequency analysis in the Dongting Lake Basin, in China. The annual maximum daily flows from 15 streamflow-gauged sites in the study area were analyzed with the HB model. The generalized extreme value (GEV) distribution was selected as the extreme flood distribution, and the GEV distribution location and scale parameters were spatially modeled through a regression approach with the drainage area as a covariate. The Markov Chain Monte Carlo (MCMC) method with Gibbs sampling was employed to calculate the posterior distribution in the HB model. The results showed that the proposed HB model provided satisfactory Bayesian credible intervals for flood quantiles, while the traditional delta method could not provide reliable uncertainty estimations for large flood quantiles, due to the fact that the lower confidence bounds tended to decrease as the return periods increased. Furthermore, the HB model for regional analysis allowed for a reduction in the value of some restrictive assumptions in the traditional index flood method, such as the homogeneity region assumption and the scale invariance assumption. The HB model can also provide an uncertainty band of flood quantile prediction at a poorly gauged or ungauged site, but the index flood method with L-moments does not demonstrate this uncertainty directly. Therefore, the HB model is an effective method of implementing the flexible local and regional frequency analysis scheme, and of quantifying the associated predictive uncertainty.

Keywords Flood frequency analysis   Hierarchical Bayesian   Index flood method   GEV distribution   Dongting Lake Basin  
Received 2018-12-08 Revised 2019-09-16 Online: 2019-12-30 
DOI: https://doi.org/10.1016/j.wse.2019.12.001
Fund:

This work was supported by the National Natural Science Foundation of China (Grants No. 51779074 and 41371052), the Special Fund for the Public Welfare Industry of the Ministry of Water Resources of China (Grant No. 201501059), the National Key Research and Development Program of China (Grant No. 2017YFC0404304), the Jiangsu Water Conservancy Science and Technology Project (Grant No. 2017027), the Program for Outstanding Young Talents in Colleges and Universities of Anhui Province (Grant No. gxyq2018143), and the Natural Science Foundation of Wanjiang University of Technology (Grant No. WG18030).

Corresponding Authors: Lian-qing Xue
Email: lqxue@hhu.edu.cn
About author:

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